for some \(\alpha _k \in [0,1)\) . The sequence \(\left\lbrace  \alpha _k\right\rbrace \)  is called forcing sequence and it greatly affects both local convergence properties and robustness of the method [1]}.
Different iterative linear solvers can be used to approximately solve (REF ) [2]}. Often Krylov subspace methods, such as the generalized minimal residual method (GMRES) [3]}, are deployed in large-scale scenarios.
